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Finding the Fourth Proportional to 65,357.52, 90,212.69 and 38,508.70

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Solution

The fourth proportional to 65,357.52, 90,212.69 and 38,508.70 is: 53,153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,357.52 : 90,212.69 = 38,508.70 : x
  2. Step 2: Convert to fraction form
    65,357.52/90,212.69 = 38,508.70/x
  3. Step 3: Cross multiply
    65,357.52x = 90,212.69 × 38,508.70
  4. Step 4: Simplify right side
    65,357.52x = 3,473,973,415.40
  5. Step 5: Solve for x
    x = 3,473,973,415.40/65,357.52
  6. Step 6: Final answer
    x = 53,153.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.